Abstract
This paper develops an improved analytical algorithm on the main cable system of suspension bridge. A catenary cable element is presented for the nonlinear analysis on main cable system that is subjected to static loadings. The tangent stiffness matrix and internal force vector of the element are derived explicitly based on the exact analytical expressions of elastic catenary. Self-weight of the cables can be directly considered without any approximations. The effect of pre-tension of cable is also included in the element formulation. A search algorithm with the penalty factor is introduced to identify the initial components for convergence with high precision and fast speed. Numerical examples are presented and discussed to illustrate the accuracy and efficiency of the proposed analytical algorithm.
Highlights
Cable-supported structures, such as suspension bridges, have been recognized as the most appealing structures due to their aesthetic appearance as well as the structural advantages of cables [1,2,3,4]
The purpose of this paper is to develop a catenary cable element for the nonlinear analysis of purpose of are thissubjected paper is to develop a catenary cable the nonlinear analysis of cableThe structures that to static loadings
The accuracy and effectiveness of proposed numerical analysis method have been verified by a commercial finite element software ANSYS, this method has been successfully applied to monitor the construction of some suspension bridges in China, such as Pingsheng Bridge [38], Jiangdong Bridge [39], and Taohuayu Bridge [40]
Summary
Cable-supported structures, such as suspension bridges, have been recognized as the most appealing structures due to their aesthetic appearance as well as the structural advantages of cables [1,2,3,4]. The tangent stiffness matrix and nodal force vector are obtained while using the iso-parametric formulation These elements give accurate results for cables with small sag. These FE-based approaches identify the target configuration of main cable via updating nodal positions and internal tension of cable elements based on nonlinear structural analysis. The main advantages of the catenary-type cable elements are the reduction of degrees of freedom, the simplicity of finding the dead load geometry of the cable system, the exact treatment of cable sag, the exact treatment of cable weight as it is included in the equations used for element formulation, and the simplicity of including the effect of pre-tension of the cable by giving the unstressed cable length.
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